Least Common Multiple of 4798 and 4803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4798 and 4803 the smallest integer that is 23044794 that is divisible by both numbers.

Least Common Multiple (LCM) of 4798 and 4803 is 23044794.

LCM(4798,4803) = 23044794

LCM of 4798 and 4803

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4798 and 4803

LCM of 4798 and 4803 is 23044794

Least common multiple can be found by multiplying the highest exponent prime factors of 4798 and 4803. First we will calculate the prime factors of 4798 and 4803.

Prime Factorization of 4798


2 4798
2399 2399
1

Prime factors of 4798 are 2,2399. Prime factorization of 4798 in exponential form is:

4798 = 21×23991

Prime Factorization of 4803


3 4803
1601 1601
1

Prime factors of 4803 are 3,1601. Prime factorization of 4803 in exponential form is:

4803 = 31×16011

Now multiplying the highest exponent prime factors to calculate the LCM of 4798 and 4803.

LCM(4798,4803) = 21×31×16011×23991
LCM(4798,4803) = 23044794

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1, 2, 2399, 4798

Factors of 4803

List of positive integer factors of 4803 that divides 4803 without a remainder.

1, 3, 1601, 4803

Least Common Multiple of 4798 and 4803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4798 and 4803, than apply into the LCM equation.

GCF(4798,4803) = 1
LCM(4798,4803) = ( 4798 × 4803) / 1
LCM(4798,4803) = 23044794 / 1
LCM(4798,4803) = 23044794

Properties of LCM 4798 and 4803

(i) The LCM of 4803 and 4798 is associative

LCM of 4798 and 4803 = LCM of 4803 and 4798

Related Least Common Multiples of 4798

Related Least Common Multiples of 4803

Frequently Asked Questions on LCM of 4798 and 4803

1. What is the LCM of 4798 and 4803?

Answer: LCM of 4798 and 4803 is 23044794.

2. What are the Factors of 4798?

Answer: Factors of 4798 are 1, 2, 2399, 4798. There are 4 integers that are factors of 4798. The greatest factor of 4798 is 4798.

3. What are the Factors of 4803?

Answer: Factors of 4803 are 1, 3, 1601, 4803. There are 4 integers that are factors of 4803. The greatest factor of 4803 is 4803.

4. How to Find the LCM of 4798 and 4803?

Answer:

Least Common Multiple of 4798 and 4803 = 23044794

Step 1: Find the prime factorization of 4798

4798 = 2 x 2399

Step 2: Find the prime factorization of 4803

4803 = 3 x 1601

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23044794 = 2 x 3 x 1601 x 2399

Step 4: Therefore, the least common multiple of 4798 and 4803 is 23044794.